Given numbers are 572,509,130,338

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 572,509,130,338 is 18924620.

Find LCM of 572,509,130,338 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 13 x 22 x 509 x 5 x 13 = 18924620

Therefore, the lowest common multiple of 572,509,130,338 is 18924620.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

572 x 509 x 130 x 338 = 12793043120

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

509 : 1, 509

130 : 1, 2, 5, 10, 13, 26, 65, 130

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,509,130,338, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

509:509

130:2x 5x 13

338:2x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 13x 13 = 676

Therefore, the value for common factors is 676.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 12793043120/(1x676)

LCM = 12793043120/676

LCM = 18924620

Thus, we can understand that the LCM of 572,509,130,338 is 18924620.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 699, 637, 638, 980
• LCM of 435, 790, 517, 310
• LCM of 631, 659, 354, 596
• LCM of 128, 337, 374, 482
• LCM of 670, 642, 955, 882

1. What is the LCM of 572, 509, 130, 338?

Answer: LCM of 572, 509, 130, 338 is 18924620.

2. How to calculate the LCM of 572, 509, 130, 338?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 572, 509, 130, 338.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.